Question

Problems 1 - 6, evaluate each expression for the given values of the variables.

1 5a + 4b - 3a - 7b+ 4a; a = -3 and b = 4
2. c6-1)-cm; b=5 and c= -2
3. 5x – 2xy + 3y: x=-5 and y=-2
4. -K -(7k - 4m); k=-2 and m = 4
5. 3(6x + 5y) - 2y: x = 3 and y=-3
6. 5(3m – n) – 4(2m- n); m=-8 and n=-11
Problems 7 - 14, combine like terms and simplify completely

Answer 1

Explanation:

1) 5a+4b-3a-7b+4a

Add terms having 'a' and 'b' separately

=6a-3b

Now subtitute values of a and b :

=6(-3)-3(4)

=-18-12

=-30

2)c(6-b)-c²

=6c-bc-c²

Subtitute values of b and c:

= 6(-2)-(5)(-2)-(-2)²

=-12+10-4

=-6

3)5x²-2xy+3y

Subtitute values of x and y:

=5(-5)²-2(-5)(-2)+3(-2)

=5(25)-20-6

=125-20-6

=99

4)-k²-(7k-4m)

Subtitute values of m and k:

=-(-2)²-{7(-2)-4(4)}

=-4-(-14-16)

=-4-(-30)

=-4+30

=26

5)3(6x+5y)-2y

Subtitute values of x and y:

=3{6(3)+5(-3)}-2(-2)

=3(18-15)+4

=3(3)+4

=9+4

=13

6)5(3m-n)-4(2m-n)

Subtitue values of m and n:

=5{5(-8)-(-11)}-4{2(-8)-(-11)}

=5(-40+11)-4(-16+11)

=5(-29)-4(-5)

=-145+20

=-125

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